Domination by positive Dunford-Pettis completely continuous operators

DOI10.1007/s13370-016-0411-6zbMath1412.46031OpenAlexW2293894139MaRDI QIDQ680239

Kamal El Fahri, Mohammed Moussa

Publication date: 22 January 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-016-0411-6

zbMATH Keywords

Banach latticeDunford-Pettis completely continuous operatororder weakly compact operatorDunford-Pettis setorder continuous norm

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65) Compactness in Banach (or normed) spaces (46B50)

Related Items (1)

Dominated operators, absolutely summing operators and the strict topology

Cites Work

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• Ideal properties of regular operators beween Banach lattices
• Compact operators in Banach lattices
• Banach lattices
• Banach spaces in which Dunford-Pettis sets are relatively compact
• Dunford-Pettis sets in the space of Bochner integrable functions
• EXTREMAL STRUCTURE OF CONES OF OPERATORS
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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